From the RRC newsgroup:

Show up 1/2 hour before opening. Go straight for Montu. Multiple rides on Montu. Then do Gwazi if no line. If line wait for later. Head to Cheetah Chase due to low capacity. Then Rhino Rally. Make sure water part is running. If ride is already long use single rider line (um; unless you don't want to see an animal tour BY YOURSELF! :-/ ).

Head for water rides. Specifically, Stanley River Falls.

Mid-Afternoon - Do the animal exhibits. See any shows. HOSPITALITY HOUSE WHOOHOO!

Later Afternoon/Evening - Gwazi.

End of Day - Kumba repeatedly. Should be empty at end of day.